What three numbers have an average of 736?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 736. This means if we add these three numbers together and divide by 3, we should get 736.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 736 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 736 * 3 = x + y + z
- So, the sum of our three numbers should be: 2208
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2208.
Solution 1:
736, 736, 736
Verification:
(736 + 736 + 736) / 3 = 2208 / 3 ≈ 736
This solution is correct!
Solution 2:
736, 736, 736
Verification:
(736 + 736 + 736) / 3 = 2208 / 3 ≈ 736
This solution is correct!
Solution 3:
1054, 846, 308
Verification:
(1054 + 846 + 308) / 3 = 2208 / 3 ≈ 736
This solution is correct!
Solution 4:
363, 790, 1055
Verification:
(363 + 790 + 1055) / 3 = 2208 / 3 ≈ 736
This solution is correct!
Solution 5:
1090, 1070, 48
Verification:
(1090 + 1070 + 48) / 3 = 2208 / 3 ≈ 736
This solution is correct!
Explanation:
As you can see, there are many possible solutions. We can find more by:
- Choosing any two numbers
- Subtracting their sum from 2208 to get the third number
Remember:
- The numbers don't have to be whole numbers.
- They can even be negative (although that might not make sense in some real-world contexts).
- The order of the numbers doesn't matter for the average.